105266257 has 2 divisors, whose sum is σ = 105266258. Its totient is φ = 105266256.

The previous prime is 105266191. The next prime is 105266269. The reversal of 105266257 is 752662501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98089216 + 7177041 = 9904^2 + 2679^2 .

It is an emirp because it is prime and its reverse (752662501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105266257 - 2⁷ = 105266129 is a prime.

It is a super-2 number, since 2×105266257² = 22161969725580098, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105260257) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52633128 + 52633129.

It is an arithmetic number, because the mean of its divisors is an integer number (52633129).

Almost surely, 2^105266257 is an apocalyptic number.

It is an amenable number.

105266257 is a deficient number, since it is larger than the sum of its proper divisors (1).

105266257 is an equidigital number, since it uses as much as digits as its factorization.

105266257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 25200, while the sum is 34.

The square root of 105266257 is about 10259.9345514482. The cubic root of 105266257 is about 472.1678293941.

The spelling of 105266257 in words is "one hundred five million, two hundred sixty-six thousand, two hundred fifty-seven".